1013102113113 has 6 divisors (see below), whose sum is σ = 1463369718954. Its totient is φ = 675401408736.

The previous prime is 1013102113061. The next prime is 1013102113151. The reversal of 1013102113113 is 3113112013101.

1013102113113 is a `hidden beast` number, since 10 + 131 + 0 + 211 + 311 + 3 = 666.

It can be written as a sum of positive squares in only one way, i.e., 832159923984 + 180942189129 = 912228^2 + 425373^2 .

It is not a de Polignac number, because 1013102113113 - 2²⁵ = 1013068558681 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1013102153113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 56283450720 + ... + 56283450737.

It is an arithmetic number, because the mean of its divisors is an integer number (243894953159).

Almost surely, 2^{1013102113113} is an apocalyptic number.

It is an amenable number.

1013102113113 is a deficient number, since it is larger than the sum of its proper divisors (450267605841).

1013102113113 is a wasteful number, since it uses less digits than its factorization.

1013102113113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112566901463 (or 112566901460 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

Adding to 1013102113113 its reverse (3113112013101), we get a palindrome (4126214126214).

The spelling of 1013102113113 in words is "one trillion, thirteen billion, one hundred two million, one hundred thirteen thousand, one hundred thirteen".